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This two-semester student research seminar is devoted to methods and applications of the theory of integrable systems. The program includes both the study of theoretical foundations and the exploration of contemporary problems.
Program
- Integrable systems of classical mechanics (Lax representations, r-matrix structures, separation of variables, group-theoretic approach).
- Exactly solvable quantum models of statistical physics (quantum chains, quantum algebras, Bethe ansatz).
- Soliton equations and integrable hierarchies (inverse scattering method, tau functions, Hirota equations).
- Algebraic-geometric description of integrable systems and isomonodromic deformations (moduli spaces of curves and fiber bundles, spectral curves, Painlevé equations).
- Dualities in integrable systems and their relationship to conformal and gauge theories.
 RSS: Forthcoming seminars
 Seminar organizers
Zotov Andrei Vladimirovich
Matushko Mariya Georgievna
Potapov Rostislav Aleksandrovich
Organizations
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center |
